What is the Least Common Multiple of 26720 and 26729?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 26720 and 26729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26720 and 26729, than apply into the LCM equation.

GCF(26720,26729) = 1
LCM(26720,26729) = ( 26720 × 26729) / 1
LCM(26720,26729) = 714198880 / 1
LCM(26720,26729) = 714198880

Least Common Multiple (LCM) of 26720 and 26729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26720 and 26729. First we will calculate the prime factors of 26720 and 26729.

Prime Factorization of 26720

Prime Factorization of 26729

Now multiplying the highest exponent prime factors to calculate the LCM of 26720 and 26729.

LCM(26720,26729) = 2⁵ × 5¹ × 167¹ × 26729¹
LCM(26720,26729) = 714198880